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212100211210212 = 223413192372617673
BaseRepresentation
bin110000001110011101101101…
…101111101111011111100100
31000210222120201101210002120000
4300032131231233233133210
5210300022213032211322
62031033254125341300
762450506646502663
oct6016355557573744
91023876641702500
10212100211210212
1161644215872646
121b956537707830
139146c6c16bb50
143a539c2722dda
15197c32ea1a3ac
hexc0e76dbef7e4

212100211210212 has 120 divisors (see below), whose sum is σ = 597154797581496. Its totient is φ = 65258186015232.

The previous prime is 212100211210177. The next prime is 212100211210253. The reversal of 212100211210212 is 212012112001212.

212100211210212 is a `hidden beast` number, since 21 + 2 + 10 + 0 + 211 + 210 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4030433668836 + 208069777541376 = 2007594^2 + 14424624^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79717408 + ... + 82335080.

Almost surely, 2212100211210212 is an apocalyptic number.

It is an amenable number.

212100211210212 is an abundant number, since it is smaller than the sum of its proper divisors (385054586371284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212100211210212 is a wasteful number, since it uses less digits than its factorization.

212100211210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636939 (or 2636928 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212100211210212 its reverse (212012112001212), we get a palindrome (424112323211424).

The spelling of 212100211210212 in words is "two hundred twelve trillion, one hundred billion, two hundred eleven million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 19237 38474 57711 76948 115422 173133 230844 250081 346266 500162 519399 692532 750243 1000324 1038798 1500486 1558197 2077596 2250729 2617673 3000972 3116394 4501458 5235346 6232788 6752187 7853019 9002916 10470692 13504374 15706038 20256561 23559057 27008748 31412076 34029749 40513122 47118114 68059498 70677171 81026244 94236228 102089247 136118996 141354342 204178494 212031513 282708684 306267741 408356988 424063026 612535482 848126052 918803223 1225070964 1837606446 2756409669 3675212892 5512819338 11025638676 50356175501 100712351002 151068526503 201424702004 302137053006 453205579509 604274106012 654630281513 906411159018 1309260563026 1359616738527 1812822318036 1963890844539 2618521126052 2719233477054 3927781689078 4078850215581 5438466954108 5891672533617 7855563378156 8157700431162 11783345067234 16315400862324 17675017600851 23566690134468 35350035201702 53025052802553 70700070403404 106050105605106 212100211210212